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Statistical Analysis of Continuous Frequency Distributions

Statistical Analysis of Continuous Frequency Distributions

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The cumulative frequency curve below illustrates the marks obtained, out of \(100\), by \(160\) students in a Mathematics test.

Cumulative frequency curve of Mathematics test marks
Cumulative frequency curve of Mathematics test marks
  1. Use the graph to estimate the
    1. median mark,
    2. interquartile range,
    3. \(90^{\mathrm{th}}\) percentile,
    4. number of students who scored more than \(60\).
  2. Given that \(40\%\) of the students failed the test, find the least marks a student must obtain to pass the test.

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Answer:(a)(i) \(41\) marks; (ii) \(16\) marks; (iii) \(59\) marks; (iv) \(14\) students. (b) \(37\) marks.

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